Zazzle.com ideal gas law print for T-shirts and mugs. [4] |

where

History

The first verbalized statement of the ideal gas law seems to have been made in parts in 1738 by Dutch-born Swiss mathematician Daniel Bernoulli.

In 1834, French engineer Emile Clapyron was defining the gas law as such:

which he says is Mariotte’s law (PV = k, at constant temperature) combined with that of Gay-Lussac's law (P = kT, at constant volume). [5]

In 1850, German physicist Rudolf Clausius, in his "On the Moving Force of Heat", was defining the gas law as such:

which he says is "the combined laws of Mariotte and Gay-Lussac" and in which he derives a value for the constant

with

Classical version | Molar version | Avogadro's law

The first statement of the modern version of the gas law, with the particle count measure 'n' in the formula, seems to have been done in the 1893

In 1897, German physicist Max Planck was also using the same modern-version formula in his chapter on "Molecular Weight". [2] This expression became commonplace with its use in the classic 1923 textbook

Statistical version | Molecular version | Boltzmann's constant

If n, the number of g-moles, gram moles, or moles, of gas, is set equal to: [9]

where

where the subscript "B" is in honor of Austrian physicist Ludwig Boltzmann, via substitution, the classical "molar-based" ideal gas law can also be written in the alternative so-called "molecular" or statistical mechanical form:

or

with the subscript "B" (for Boltzmann) assumed, where

Other

In 1936, Italian-born American physicist Enrico Fermi was defining what he called the "equation of state for the ideal gas or perfect gas" as follows: [6]

where

which he says is the condition for what is called the "gram-molecule" amount of a gas. Hence, the gram molecule ideal gas law becomes:

Of note, the inconsistency with which authors upper or lower case letters for pressure volume and temperature is a bit puzzling, as there seems to be some type of unwritten rule practiced, albeit inconsistently.

See also

● Social ideal gas law

References

1. Nernst, Walther. (1893).

2. Planck, Max. (1897).

3. Lewis, Gilbert N. and Randall, Merle. (1923).

4. Ideal gas law (T-shirt) – Zazzle.com.

5. Clapeyron, Émile. (1834). “Memoir on the Motive Power of Heat”,

6. Fermi, Enrico. (1936).

7. Avogadro’s law – Wikipedia.

8. Dalton’s law – Wikipedia.

9. (a) Basavaraju, G. and Ghosh, Dipan. (1984).

(b) Wolf, Jonathan S. (2003).

External links

● Ideal gas law – Wikipedia.